Author

Jonas Haferkamp

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Preprint Sep 2026

Depth-1 expanders on the unitary group and applications

We construct a constant-degree and constant-gap quantum expander on $n$ qubits where each unitary can be implemented by a depth-$1$ and 1D circuit of Pauli or CNOT gates. We provide two applications of this expander. First, we use it to construct a family of frustration-free 1D Hamiltonians whose ground states obey the...

Anurag Anshu, Shankar Balasubramanian, Jonas Haferkamp et al. · 2 citations · ⚡1